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svp [43]
3 years ago
5

A cashier is unsure whether a group of customers ordered and ate a large or a medium pizza. Medium pizzas have a diameter of 12

inches and large pizzas have a diameter of 16 inches. All that remains is one crust that has an arc length of 4.25 inches. All pizzas are divided into 12 equal slices. What size did the customers order? Explain how you determined your answer. That’s the interesting part, because although only one answer exists, you can solve this problem in different ways.A cashier is unsure whether a group of customers ordered and ate a large or a medium pizza. Medium pizzas have a diameter of 12 inches and large pizzas have a diameter of 16 inches. All that remains is one crust that has an arc length of 4.25 inches. All pizzas are divided into 12 equal slices. What size did the customers order? Explain how you determined your answer. That’s the interesting part, because although only one answer exists, you can solve this problem in different ways.
Mathematics
1 answer:
Vinvika [58]3 years ago
4 0
Answer: large pizza

Work:


1) You can determine the arc of a slice that is 1/12 of the whole pizza using the diameter.

2) First, calculate the total circumference of each pizza.

Formula for the circumference: 2π×radius

radius = diameter / 2

medium pizza: 2π (12 / 2) = 12π ≈ 37.70 in

large pizza: 2π (16/2) = 16π ≈ 50.27 in

3) arc of a 1/12 sector

arc of a 1/12 sector = circumferece × 1/12

medium pizza: 37.70 in / 12 = 3.14 in


large pizza: 50.27 in / 12 = 4.19 ↔ this is pretty close to 4.25


So, at the end we have found that the sector of 4.25 in left belongs to a large pizza.
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Construct an equation using the given information
elena-s [515]

Answer:

So, equation using the given information :

5 is subtracted from a number the result is the same as the number tripled will be: x-5=3x

Step-by-step explanation:

We need to make an equation of: 5 is subtracted from a number the result is the same as the number tripled.

Let, the number be x

5 is subtracted from a number will be: x-5

The number tripled will be: 3*x

The required equation will be:

x-5=3x

So, equation using the given information :

5 is subtracted from a number the result is the same as the number tripled will be: x-5=3x

3 0
3 years ago
Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 bab
Leviafan [203]

Answer:

z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936  

The p value can be founded with this formula:

p_v =P(z  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

Step-by-step explanation:

Information given

\bar X_{1}=7.6 represent the mean for Gibbs products

\bar X_{2}=8.1 represent the mean for the competitor

\sigma_{1}=2.3 represent the population standard deviation for Gibbs

\sigma_{2}=2.9 represent the sample standard deviation for the competitor

n_{1}=40 sample size for the group Gibbs

n_{2}=55 sample size for the group competitor

\alpha=0.05 Significance level provided

z would represent the statistic

Hypothesis to verify

We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}< 0  

The statistic would be given by:

z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

Replacing the info given we got:

z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936  

The p value can be founded with this formula:

p_v =P(z  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

5 0
2 years ago
If there are 35 yellow books in the bookcase, then how many green books are in the bookcase
alukav5142 [94]

ANSWER

D. 14

EXPLANATION

The ratio of the books in the book case are:

Red:Yellow:Green=3:5:2

The number of yellow books in the book case is 35.

If 5 corresponds to 35, then 2 green books will correspond to a less number of books,

By proportion, because it is going to be less more will divide.

The number of green books in the book case is

=  \frac{35 \times 2}{5}

= 7 \times 2 = 14

7 0
2 years ago
I need answer Immediately!!!!!!!!!
dybincka [34]
Uhh I think something like y=x+5
7 0
2 years ago
. An amusement park bought some arcade games that cost $2,000 each and photo booths that cost $3,200 each. A total of 22 of both
geniusboy [140]

Answer:

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Step-by-step explanation:

x will represent the number of arcade games

y will represent the number of photobooths

We know that 22 total machines were bought which means that x+y=22

We also know that the total was 53600 which means that 2000x+3200y=53600

We can use substitution to solve this

x+y=22

x-22= -y

-x+22=y

Then plug this in for y in the next equation

2000x+3200(-x+22)=53600

Solve this and get x=14

Then plug in x=14 into any equation (I will choose the x+y one because that's easiest to solve)

14+y=22

this means y=8

This means that 14 arcade games and 8 photobooths were purchased

I double checked the math on desmos and it is correct

6 0
2 years ago
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